Description
Book SynopsisEmil Artin was one of the great mathematicians of the twentieth century. He had the rare distinction of having solved two of the famous problems posed by David Hilbert in 1900. He showed that every positive definite rational function of several variables was a sum of squares. This book gathers a selection of his writings.
Table of ContentsIntroduction by M. Rosen Books by Emil Artin: The Gamma Function by E. Artin Galois Theory by E. Artin Theory of Algebraic Numbers by E. Artin Papers by Emil Artin: Axiomatic characterization of fields by the product formula for valuations by E. Artin and G. Whaples A note on axiomatic characterization of fields by E. Artin and G. Whaples A characterization of the field of real algebraic numbers by E. Artin The algebraic construction of real fields by E. Artin and O. Schreier A characterization of real closed fields by E. Artin and O. Schreier The theory of braids by E. Artin Theory of braids by E. Artin On the theory of complex functions by E. Artin A proof of the Krein-Milman theorem by E. Artin The influence of J. H. M. Wedderbum on the development of modern algebra by E. Artin.